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Modal Analysis
for Structural Validation

Course No. 195

(Course Outline shown below.)

For Whom Intended  Engineers involved with dynamics and structural test applications.

Objectives  Engineers and designers need to understand and determine the magnitude of vibration and modal characteristics of a structural system in its operating conditions. There are two ways to achieve this:

Brief Course Description  The single degree of freedom (SDoF) model enables us to understand the fundamental concepts of free and forced vibration, natural frequency, resonance and damping. However in MDoF systems, resonance may occur at a number of different frequencies, each of which corresponds to a different pattern or shape of the system's motion. These are known as the natural or normal modes of vibration or mode shapes. There is a differential equation of motion for each degree of freedom; a set of n simultaneous equations is needed to mathematically describe a MDoF system. These equations are usually solved using matrix algebra.

In the experimental method, the structure is excited by applying forced vibration and measuring the responses, from which the vibration modes are determined and a structural model developed. This is the reverse process to the theoretical method.

This TTi course begins with a review of structural and dynamic theory before examining methods of measuring frequency response from the structure under test. Next, various methods of input excitation are discussed, such as shaker and impact hammer. Structural preparation and suspension methods are also examined.

A review of transducers and signal processing equipment is made before discussing analysis methods, time-domain curve fitting. Modal test philosophy including the sequence of steps and practical considerations in undertaking the test are discussed. The tabulation of results and derivation of mode shapes and construction of spatial models (mass, stiffness and damping) are covered before discussing the application of the modal test results.

Certificate Programs  This course is required for TTi’s Mechanical Design Specialist (MDS) Certificate Program. It may be used as an elective for any TTi specialist certificate program.

Related Courses See course 142-4, Mechanical Shock and Modal Test Techniques.

Prerequisites  There are no definite prerequisites for this course. However, this course is aimed toward individuals involved in a related technical field.

Text  Each participant will receive a course workbook, which contains most of the viewgraphs used during the presentation.

Course Hours, Certificate and CEUs  Open courses meet seven hours per day. Upcoming presentation dates can be found on our current open course schedule. Class hours/days for on-site courses can vary from 14-35 hours over 2-5 days as requested by our clients. Upon successful course completion, each participant receives a certificate of completion and one Continuing Education Unit (CEU) for every ten class hours.


Course Outline No. 195

Printable (.pdf) version of course outline no. 195 ( Adobe Acrobat Reader required).

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